The amount of a sample remaining after t days is given by the equation (0) - A 20-4()
where A is the initial amount of the
sample and h is the half-life, in days of the substance. A scientist has a 10-mg sample of a radioactive isotope. The isotope
has a half-life of 8 days After 16 days, how much of the radioactive isotope remains?
2.0 mg
2.5 mg
5.7 mg
7.1 mg

The amount of a sample remaining after t days is given by the equation A (1 /2) ^ (t/h)

where A is the initial amount of the

sample and h is the half-life, in days of the substance. A scientist has a 10-mg sample of a radioactive isotope. The isotope

has a half-life of 8 days After 16 days, how much of the radioactive isotope remains?

2.5mg

Step-by-step explanation:

P(t) = A × (1/2) ^ (t/h)

Where h = half life = 8days

t = number of days = 16days

A = Initial amount of sample = 10mg

P(t) = 10 × (0.5)^(16/8)

P(t) = 10 × (0.5)^2

P(t) = 10 × 0.25

P(t) = 2.5mg